{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "import wasserstein\n",
    "\n",
    "# directs standard out here instead of to the terminal\n",
    "%load_ext wurlitzer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# EMD Usage"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Euclidean Ground Measure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EMD\n",
      "  ArrayEvent<8-byte float>\n",
      "    norm - false\n",
      "\n",
      "  EuclideanArrayDistance\n",
      "    R - 1\n",
      "    beta - 1\n",
      "\n",
      "  NetworkSimplex\n",
      "    n_iter_max - 100000\n",
      "    epsilon_large - 2.22045e-12\n",
      "    epsilon_small - 2.22045e-16\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# create an EMD object with the default parameters\n",
    "emd = wasserstein.EMD()\n",
    "print(emd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EMD value: 5.539306551574456\n",
      "flows shape: (50, 51)\n",
      "extra particle added to event 1\n"
     ]
    }
   ],
   "source": [
    "# get some points in a euclidean space\n",
    "M = 50\n",
    "coords0, coords1 = np.random.rand(2, M, 2)\n",
    "weights0, weights1 = np.random.rand(2, M)\n",
    "\n",
    "# run EMD computation\n",
    "emd_val = emd(weights0, coords0, weights1, coords1)\n",
    "print('EMD value:', emd)\n",
    "\n",
    "# get flows\n",
    "flows = emd.flows()\n",
    "print('flows shape:', flows.shape)\n",
    "\n",
    "# verify where extra particle got added\n",
    "print('extra particle added to event', emd.extra())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 480x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 418,
       "width": 439
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the events\n",
    "zf = 100\n",
    "plt.scatter(coords0[:,0], coords0[:,1], s=zf*weights0, lw=0, color='red')\n",
    "plt.scatter(coords1[:,0], coords1[:,1], s=zf*weights1, lw=0, color='blue')\n",
    "\n",
    "# plot flows\n",
    "cmap = plt.get_cmap('Greys')\n",
    "fmax = flows.max()\n",
    "for i in range(len(weights0)):\n",
    "    for j in range(len(weights1)):\n",
    "        f = flows[i,j]\n",
    "        if f > 0.:\n",
    "            plt.plot([coords0[i,0], coords1[j,0]], [coords0[i,1], coords1[j,1]],\n",
    "                     lw=1.5, color=cmap(f/fmax), zorder=0)\n",
    "\n",
    "plt.xlim(0, 1)\n",
    "plt.ylim(0, 1)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Custom Ground Measure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.spatial.distance import cdist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "# use manhattan distances\n",
    "city_dists = cdist(coords0, coords1, 'cityblock')\n",
    "\n",
    "# use norm=True here to avoid having to equalize the weights ourselves\n",
    "emd = wasserstein.EMD(norm=True)\n",
    "\n",
    "# solve EMD problem\n",
    "city_emd = emd(weights0, weights1, city_dists)\n",
    "city_flows = emd.flows()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 480x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 418,
       "width": 439
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the events\n",
    "zf = 100\n",
    "plt.scatter(coords0[:,0], coords0[:,1], s=zf*weights0, lw=0, color='red')\n",
    "plt.scatter(coords1[:,0], coords1[:,1], s=zf*weights1, lw=0, color='blue')\n",
    "\n",
    "# plot flows (notice that they tend to align much more with the axes due to the metric choice)\n",
    "cmap = plt.get_cmap('Greys')\n",
    "fmax = city_flows.max()\n",
    "for i in range(len(weights0)):\n",
    "    for j in range(len(weights1)):\n",
    "        f = city_flows[i,j]\n",
    "        if f > 0.:\n",
    "            plt.plot([coords0[i,0], coords1[j,0]], [coords0[i,1], coords1[j,1]],\n",
    "                     lw=1.5, color=cmap(f/fmax), zorder=0)\n",
    "\n",
    "plt.xlim(0, 1)\n",
    "plt.ylim(0, 1)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Check Optimality of Transportation Plans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Euclidean EMD flows, Euclidean dists 0.1379426137030905\n",
      "Cityblock EMD flows, Euclidean dists 0.1414012180104024\n",
      "Euclidean EMD flows, cityblock dists 0.17218629582683764\n",
      "Cityblock EMD flows, cityblock dists 0.16965437271172573\n"
     ]
    }
   ],
   "source": [
    "# the cost of the euclidean flow plan with the cityblock distance\n",
    "# should be more than the cityblock plan and vice versa\n",
    "euclidean_dists = cdist(coords0, coords1)\n",
    "euclidean_emd = emd(weights0, weights1, euclidean_dists)\n",
    "euclidean_flows = emd.flows()\n",
    "\n",
    "# swap flow plans\n",
    "euclidean_flows_city_dists = np.sum(euclidean_flows*city_dists)\n",
    "city_flows_euclidean_dists = np.sum(city_flows*euclidean_dists)\n",
    "\n",
    "# the first value should be smaller\n",
    "print('Euclidean EMD flows, Euclidean dists', euclidean_emd)\n",
    "print('Cityblock EMD flows, Euclidean dists', city_flows_euclidean_dists)\n",
    "\n",
    "# the second value should be smaller\n",
    "print('Euclidean EMD flows, cityblock dists', euclidean_flows_city_dists)\n",
    "print('Cityblock EMD flows, cityblock dists', city_emd)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PairwiseEMD Usage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PairwiseEMD\n",
      "  ArrayEvent<8-byte float>\n",
      "    norm - true\n",
      "\n",
      "  EuclideanArrayDistance\n",
      "    R - 1\n",
      "    beta - 1\n",
      "\n",
      "  NetworkSimplex\n",
      "    n_iter_max - 100000\n",
      "    epsilon_large - 2.22045e-12\n",
      "    epsilon_small - 2.22045e-16\n",
      "\n",
      "  num_threads - 8\n",
      "  print_every - auto, 10 total chunks\n",
      "  store_sym_emds_flattened - true\n",
      "  throw_on_error - false\n",
      "\n",
      "  Pairwise EMD distance matrix stored internally\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# create PairwiseEMD object\n",
    "emds = wasserstein.PairwiseEMD(norm=True)\n",
    "print(emds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Finished preprocessing 800 events in 0.0055s\n",
      "   31960 / 319600  EMDs computed  -  10.00% completed - 0.015s\n",
      "   63920 / 319600  EMDs computed  -  20.00% completed - 0.028s\n",
      "   95880 / 319600  EMDs computed  -  30.00% completed - 0.036s\n",
      "  127840 / 319600  EMDs computed  -  40.00% completed - 0.045s\n",
      "  159800 / 319600  EMDs computed  -  50.00% completed - 0.054s\n",
      "  191760 / 319600  EMDs computed  -  60.00% completed - 0.062s\n",
      "  223720 / 319600  EMDs computed  -  70.00% completed - 0.070s\n",
      "  255680 / 319600  EMDs computed  -  80.00% completed - 0.079s\n",
      "  287640 / 319600  EMDs computed  -  90.00% completed - 0.087s\n",
      "  319600 / 319600  EMDs computed  - 100.00% completed - 0.096s\n"
     ]
    }
   ],
   "source": [
    "# get a collection of events\n",
    "Mmin, Mmax = 4, 5\n",
    "N = 800\n",
    "ground_dim = 3\n",
    "events = [np.random.rand(np.random.randint(Mmin, Mmax), 1+ground_dim) for i in range(N)]\n",
    "\n",
    "# compute pairwise emds\n",
    "emds(events)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 480x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 434,
       "width": 462
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get emds\n",
    "emds_arr = emds.emds()\n",
    "\n",
    "# display histogram of unique emd values\n",
    "unique_emds = emds_arr[np.triu(emds_arr) > 0]\n",
    "assert len(unique_emds) == N*(N-1)//2\n",
    "\n",
    "plt.hist(unique_emds, bins=51, histtype='step', density=True)\n",
    "\n",
    "plt.yscale('log')\n",
    "\n",
    "plt.xlabel('EMD')\n",
    "plt.ylabel('Probability Density')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# CorrelationDimension Usage\n",
    "\n",
    "The `CorrelationDimension` class is an example of an external EMD handler, that is, something that we can provide to a `PairwiseEMD` object that will accept the EMD values on the fly. In this case, the EMD values are histogrammed according to settings specified in the `CorrelationDimension` object, which can then be used to calculate the correlation dimension, which is a particular transformation of the histogram of EMD values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  ExternalEMDHandler - CorrelationDimension\n",
      "    range - [0.18, 1.15)\n",
      "    bins - 61\n",
      "    axis_transform - log\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# create correlation dimension object\n",
    "EMDlow, EMDhigh = 0.18, 1.15\n",
    "nbins = 61\n",
    "corrdim = wasserstein.CorrelationDimension(nbins, EMDlow, EMDhigh)\n",
    "print(corrdim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PairwiseEMD\n",
      "  ArrayEvent<8-byte float>\n",
      "    norm - true\n",
      "\n",
      "  EuclideanArrayDistance\n",
      "    R - 1\n",
      "    beta - 1\n",
      "\n",
      "  NetworkSimplex\n",
      "    n_iter_max - 100000\n",
      "    epsilon_large - 2.22045e-12\n",
      "    epsilon_small - 2.22045e-16\n",
      "\n",
      "  num_threads - 8\n",
      "  print_every - auto, 10 total chunks\n",
      "  store_sym_emds_flattened - true\n",
      "  throw_on_error - false\n",
      "\n",
      "  ExternalEMDHandler - CorrelationDimension\n",
      "    range - [0.18, 1.15)\n",
      "    bins - 61\n",
      "    axis_transform - log\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# set corrdim as external handler to emds, notice that the EMDs are no longer stored internally\n",
    "emds.set_external_emd_handler(corrdim)\n",
    "print(emds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Finished preprocessing 800 events in 0.0079s\n",
      "   31960 / 319600  EMDs computed  -  10.00% completed - 0.019s\n",
      "   63920 / 319600  EMDs computed  -  20.00% completed - 0.029s\n",
      "   95880 / 319600  EMDs computed  -  30.00% completed - 0.040s\n",
      "  127840 / 319600  EMDs computed  -  40.00% completed - 0.051s\n",
      "  159800 / 319600  EMDs computed  -  50.00% completed - 0.062s\n",
      "  191760 / 319600  EMDs computed  -  60.00% completed - 0.073s\n",
      "  223720 / 319600  EMDs computed  -  70.00% completed - 0.084s\n",
      "  255680 / 319600  EMDs computed  -  80.00% completed - 0.095s\n",
      "  287640 / 319600  EMDs computed  -  90.00% completed - 0.106s\n",
      "  319600 / 319600  EMDs computed  - 100.00% completed - 0.116s\n"
     ]
    }
   ],
   "source": [
    "# run computation\n",
    "emds(events)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 480x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 440,
       "width": 458
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# view correlation dimension\n",
    "cd_vals, cd_errs = corrdim.corrdims()\n",
    "midbins, cd_bins = corrdim.bin_centers(), corrdim.corrdim_bins()\n",
    "plt.errorbar(cd_bins, cd_vals, yerr=cd_errs, xerr=(cd_bins - midbins[:-1], midbins[1:] - cd_bins))\n",
    "plt.ylim(0, 20)\n",
    "\n",
    "plt.xlabel('EMD')\n",
    "plt.ylabel('Correlation Dimension')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
